X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP547-1.ma;h=51dd4cf9db219b80fd6bb8008021a4921ba73369;hb=bbf85ddcdfe0809fee0c6ca9812ce0da30c238af;hp=ba39a6705a7b641ea1e7150c4ea2e9f4707d307d;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP547-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP547-1.ma index ba39a6705..51dd4cf9d 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP547-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP547-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP547-1 : TPTP v3.2.0. Released v2.6.0. *) +(* File : GRP547-1 : TPTP v3.7.0. Released v2.6.0. *) (* Domain : Group Theory (Abelian) *) @@ -42,7 +42,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_3: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. ∀a3:Univ. ∀b3:Univ. ∀c3:Univ. @@ -53,24 +53,25 @@ ntheorem prove_these_axioms_3: ∀H0:∀A:Univ.eq Univ identity (divide A A). ∀H1:∀A:Univ.eq Univ (inverse A) (divide identity A). ∀H2:∀A:Univ.∀B:Univ.eq Univ (multiply A B) (divide A (divide identity B)). -∀H3:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide (divide identity (divide A B)) (divide (divide B C) A)) C.eq Univ (multiply (multiply a3 b3) c3) (multiply a3 (multiply b3 c3)) +∀H3:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide (divide identity (divide A B)) (divide (divide B C) A)) C.eq Univ (multiply (multiply a3 b3) c3) (multiply a3 (multiply b3 c3))) . -#Univ. -#A. -#B. -#C. -#a3. -#b3. -#c3. -#divide. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a3 ##. +#b3 ##. +#c3 ##. +#divide ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)